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Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10

Find the square root of the following rational expression 121(a+b)8(x+y)8(b-c)881(b-c)4(a-b)12(b-c)4 - Mathematics

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Question

Find the square root of the following rational expression

`(121("a" + "b")^8 (x + y)^8 ("b" - "c")^8)/(81("b" - "c")^4 ("a" - "b")^12 ("b" - "c")^4)`

Sum

Solution

`sqrt((121("a" + "b")^8 (x + y)^8 ("b" - "c")^8)/(81("b" - "c")^4 ("a" - "b")^12 ("b" - "c")^4)`

= `11/9|(("a" + "b")^4 (x + y)^4 ("b" - "c")^4)/(("b" - "c")^2 ("a" - "b")^6 ("b" - "c")^2)|`

= `11/9|(("a" + "b")^4 (x + y)^4)/("a" - "b")^6|`

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Square Root of Polynomials
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Chapter 3: Algebra - Exercise 3.7 [Page 105]

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Samacheer Kalvi Mathematics [English] Class 10 SSLC TN Board
Chapter 3 Algebra
Exercise 3.7 | Q 1. (iii) | Page 105
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